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Austin, D.G., Edgar, G.A., Ionescu-Tulcea, A.: Pointwise convergence in terms of expectations. Z. Wahrscheinlichkeitstheorie verw. Gebiete 30, 17–26 (1974)
Chacon, R.V., Sucheston, L.: On convergence of vector-valued asymptotic martingales. Z. Wahrscheinlichkeitstheorie verw. Gebiete (To appear)
Dunford, N., Schwartz, J.T.: Linear operators, Part I. New York: Interscience 1958
Hoffman-JØrgensen, J.: Vector measures. Math. Scand. 28, 5–32 (1971)
Huff, R.E.: Dentability and the Radon-Nikodym property. Duke Math. J. 41, 111–114 (1974)
Moedomo, S., Uhl, J.J., Jr.: Radon-Nikodym theorems for the Bochner and Pettis integrals. Pacific J. Math. 38, 531–538 (1971)
Thomas, G., Erik, F.: The Lebesgue-Nikodym theorem for vector-valued Radon measures. Mem. Amer. Math. Soc. 139 (1974)
Uhl, J.J., Jr.: Extensions and decompositions of vector measures. J. London Math. Soc. (2) 3, 672–676 (1971)
Uhl, J.J., Jr.: The range of vector-valued measure. Proc. Amer. Math. Soc. 23, 158–163 (1969)
Uhl, J.J., Jr.: Martingales of strongly measurable Pettis integrable functions. Trans. Amer. Math. Soc. 167, 369–378 (1972), Erratum 181, 507 (1973)
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Uhl, J.J. Pettis mean convergence of vector-valued asymptotic martingales. Z. Wahrscheinlichkeitstheorie verw Gebiete 37, 291–295 (1977). https://doi.org/10.1007/BF00533421
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DOI: https://doi.org/10.1007/BF00533421